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Finding the Fourth Proportional to 2,795.36, 3,857.17 and 1,616.20

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Solution

The fourth proportional to 2,795.36, 3,857.17 and 1,616.20 is: 2,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.36 : 3,857.17 = 1,616.20 : x
  2. Step 2: Convert to fraction form
    2,795.36/3,857.17 = 1,616.20/x
  3. Step 3: Cross multiply
    2,795.36x = 3,857.17 × 1,616.20
  4. Step 4: Simplify right side
    2,795.36x = 6,233,969.20
  5. Step 5: Solve for x
    x = 6,233,969.20/2,795.36
  6. Step 6: Final answer
    x = 2,230.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.